Ulrich bundles on surfaces with $q=p_g=0$

preprint2016arXivOpen access

We prove that any surface with q=p_g=0 embedded by a sufficiently large linear system admits a rank 2 Ulrich bundle. In particular every Enriques surface admits a rank 2 Ulrich bundle.

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Ulrich bundles on surfaces with $q=p_g=0$

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Ulrich bundles on surfaces with q=pg=0q=p_g=0q=pg​=0

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Ulrich bundles on surfaces with $q=p_g=0$